3/2 + 13 as a fraction

Learn how to find what is 3/2 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 13 as a fraction and decimal.

Summary: 3/2 plus 13 = 29/2
Since both fractions have unequal denominators, 3/2 plus 13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (3/2 x 2/2) + (13 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 3/2 and for 13 is 26/2. By simplifying this fraction addition 3/2 + 26/2, it becomes 29/2.

CALCULATION: 3/2 + 13 as a fraction
3/2 + 13 = (?)
3/2 + 13/1 = [(3 x 1) + (13 x 2)]/(2 x 1)
= (3 + 26)/2
= 29/2
3/2 + 13 = 29/2
3/2 plus 13 as a fraction is 29/2.

where
3/2 is a improper fraction as an addend,
13 is a whole number as an addend,
29/2 is the sum of 3/2 and 13.

---

3/2 plus 13 as a decimal
3/2 + 13 = 29/2
29/2 = 14.5
(3/2) + (13) as a decimal is 14.5

where
14.5 is the sum of 3/2 and 13.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 13 by adding fraction to a whole number . The sum in fraction form for 3/2 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/2) + (13) using LCM Method:
What is 3/2 plus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 13/1

What to be found?
(3/2) + (13) = ?
Find what's the sum of 3/2 and 13.

step 2 Compare the denominators of fractions 3/2 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 13 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 3/2 and 13:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 3/2 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 + 13
= [(3 x 2)/(2 x 2)] + [(13 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 3/2 + 26/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (3/1 + 26/1)
= 1/2 x (3 + 26)

step 7Simplify the above expression further:
= 1/2 x 29
= 29/2
3/2 + 13 = 29/2

Hence,
3/2 plus 13 as a fraction is 29/2.

---

3/2 + 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 13/1

What to be found?
(3/2)+(13) = ?
Find what's the sum of 3/2 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (3 x 1) + (13 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (3 + 26)/2
3/2 + 13 = 29/2

Hence,
3/2 plus 13 in fraction is 29/2